FP4Individual fellowship1998–2000

The scattering of elastic waves by one-dimensional rough surfaces

FP4 — Training and Mobility of Researchers

Duration: 1998-10-01 → 2000-09-30
EU contribution: —
Participants: 1
Scheme: RGI

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Project objective

Research objectives and content The scattering of elastic waves by effectively unbounded rough surfaces is to be studied. The object is to derive theoretical results as well as develop and analyse numerical methods to compute approximate solutions. The propagation of time-harmonic elastic waves in isotropic media is described by the Navier equation. In a first phase of the project, existence and uniqueness theorems for solutions to this equation in unbounded domains are to be derived employing boundary integral equation methods. Work is to be based on results for scattering of elastic waves by periodic surfaces currently underway and on results on scattering of acoustic waves by rough surfaces obtained at the host institution. In the second phase of the project, numerical methods for the computation of approximate solutions to the systems of boundary integral equations derived in phase one are to be developed and analysed. The procedure will involve truncation of the interval of integration, formulation as a linear system employing a Nystrvm method and solving this system utilising fast iterative schemes. It is hoped to limit the computational cost to O(N log N) operations. Training content (objective, benefit and expected impact) Training will mainly be provided in mathematical analysis of problems of scattering of waves by unbounded obstacles and development and analysis of fast iterative methods for the approximate solution of such problems, this second aspect being particularly attractive to me. The proposed project will complete my PhD studies and enable me to submit my thesis by September 2000. Links with industry / industrial relevance (22) Engineering literature displays great interest in reliable methods for the solution of scattering problems involving unbounded rough surfaces.

Original text from CORDIS.

Participants

Brunel University · Uxbridge - MiddlesexCoordinatorCountry levelUnited Kingdom